A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the height of the water increasing (in m/min)? m/min

Q: Suppose the radius of a sphere are expanding at a rate of 6 inches per minute. How fast is the…

A: Let us suppose the radius of sphere be R. Given that :   dRdt=6 incheminute.  Radius=Diameter2=122=6…

Q: Water is draining from a cylindrical tank of water at a rate of 3 m / min . If the radius of the…

A:

Q: A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

A: Given A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

Q: Liquid is escaping from a conical funnel at the rate of 3 cm3 /min. If the top of the funnel has a…

A: Given, r= 4 cm h= 20 cm dV/dt= 3 cm³/min Therefore, r/h= 4/20= 1/5 r= h/5

Q: Water is flowing inside a right cylindrical vessel at the rate of 1275 cm³/s. The radius of the…

A: We know that the volume of a cylindrical vessel,  V = π·r2·h where r is the radius and h is the…

Q: A water trough is 9 m long and has a cross-section in the shape of isosceles trapezoid that is 40 cm…

A: Given, the water trough is 9m long. The cross-section of the trough is an isosceles trapezoid.…

Q: The sides of an equilateral triangle extend at a rate of two cm per second. I drew a half-circle…

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